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On a bivariate Markov process arising in the theory of single-server retrial queues

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dc.contributor.authorFalin, Guennadi I.
dc.contributor.authorGómez-Corral, Antonio
dc.date.accessioned2023-06-20T16:55:02Z
dc.date.available2023-06-20T16:55:02Z
dc.date.issued2000
dc.description.abstractThe paper deals with a special bivariate Markov process which can be considered as the joint process of the channel (server) state and the number of customers in the orbit of a Markovian single server retrial system with state dependent intensities. Several retrial queues, analysed in the literature, are special cases in view of the versatility of the process. Necessary and sufficient conditions for the regularity, ergodicity and recurrence of the process are given. For the stationary distribution a product formula is derived. Further the busy period, the number of served customers and other related quantities are studied.
dc.description.departmentDepto. de Estadística e Investigación Operativa
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipEuropean Commission
dc.description.sponsorshipDGYCYT
dc.description.sponsorshipUniversidad Complutense de Madrid
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/15862
dc.identifier.doi10.1111/1467-9574.00126
dc.identifier.issn0039-0402
dc.identifier.officialurlhttp://onlinelibrary.wiley.com/doi/10.1111/1467-9574.00126/pdf
dc.identifier.relatedurlhttp://www.blackwellpublishing.com/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/57418
dc.issue.number1
dc.journal.titleStatistica Neerlandica
dc.language.isoeng
dc.page.final78
dc.page.initial67
dc.publisherBLACKWELL
dc.relation.projectIDINTAS 96-0828
dc.relation.projectIDPB 95-0416
dc.rights.accessRightsrestricted access
dc.subject.cdu519.216
dc.subject.keywordRetrial queueing models
dc.subject.keywordbivariate Markov process
dc.subject.keywordregularity
dc.subject.keywordergodicity
dc.subject.keywordrecurrence
dc.subject.keywordstationary distribution
dc.subject.keywordbusy period
dc.subject.ucmProcesos estocásticos
dc.subject.unesco1208.08 Procesos Estocásticos
dc.titleOn a bivariate Markov process arising in the theory of single-server retrial queues
dc.typejournal article
dc.volume.number54
dspace.entity.typePublication

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